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Finding the Third Proportional to 209,936 and 453,025

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Solution

The third proportional to 209,936 and 453,025 is: 977,591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,936 : 453,025 = 453,025 : x
  2. Step 2: Convert to fraction form
    209,936/453,025 = 453,025/x
  3. Step 3: Cross multiply
    209,936x = 453,025 × 453,025
  4. Step 4: Simplify right side
    209,936x = 205,231,650,625
  5. Step 5: Solve for x
    x = 205,231,650,625/209,936
  6. Step 6: Final answer
    x = 977,591.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.